幂级数的和函数及其应用
Sum Function of Power Series and Its Application
赵莉莉 1王蕾1
作者信息
- 1. 云南大学 数学与统计学院,云南 昆明 650091
- 折叠
摘要
总结了幂级数的系数在关于 n的假分式、关于 n的真分式和含有 n的阶乘等 3 种情形下,求幂级数和函数的方法.介绍了幂级数的和函数在求常数项级数的和、求数列极限,以及在近似计算中的应用.
Abstract
Summarized the methods for finding the sum of power series in three cases where the coefficient of a power series is a false fraction of n,a true fraction of n and a factorial of n.The summation function of power series is introduced in the summation of series of constant terms,the limit of sequence of numbers and its application in approximate calculation.
关键词
幂级数/和函数/常数项级数/收敛域/近似计算/极限Key words
power series/sum function/series of constant terms/convergence region/approximate calculation/limit引用本文复制引用
基金项目
云南省教育厅自然科学基金项目(2020J0020)
云南大学教育教改项目(2023Y22)
出版年
2024
NETL
NSTL
万方数据